What are the solutions to the equation -3x^2+8x=7 ?

The solutions to the equation -3x^2+8x=7 are x= 4/3-i(sqrt(5))/3 ,x= 4/3+i(sqrt(5))/3

Find the zeros of -3x^2+8x=7

The zeros of -3x^2+8x=7 are x= 4/3-i(sqrt(5))/3 ,x= 4/3+i(sqrt(5))/3

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- 3 x^{2} + 8 x = 7

x = \frac{4}{3} - i \frac{5}{3}, x = \frac{4}{3} + i \frac{5}{3}

Solution steps

- 3 x^{2} + 8 x = 7

Move

7

to the left side

- 3 x^{2} + 8 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 ( - 3 ) ( - 7 )}{2 ( - 3 )}

Simplify

8^{2} - 4 (- 3) (- 7) : 25 i

x_{1, 2} = \frac{- 8 \pm 2 5 i}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- 8 + 2 5 i}{2 ( - 3 )}, x_{2} = \frac{- 8 - 2 5 i}{2 ( - 3 )}

x = \frac{- 8 + 2 5 i}{2 ( - 3 )} : \frac{4}{3} - i \frac{5}{3}

x = \frac{- 8 - 2 5 i}{2 ( - 3 )} : \frac{4}{3} + i \frac{5}{3}

The solutions to the quadratic equation are:

x = \frac{4}{3} - i \frac{5}{3}, x = \frac{4}{3} + i \frac{5}{3}

(2 x - 3)^{2} = x^{2} + (x + 3)^{2}

x^{2} + 50 x - 30000 = 0

x^{2} - \frac{3}{4} x

4 n^{2} + 5 n - 6 = 0

4 x^{2} - 12 x + 25

What are the solutions to the equation -3x^2+8x=7 ?
The solutions to the equation -3x^2+8x=7 are x= 4/3-i(sqrt(5))/3 ,x= 4/3+i(sqrt(5))/3
Find the zeros of -3x^2+8x=7
The zeros of -3x^2+8x=7 are x= 4/3-i(sqrt(5))/3 ,x= 4/3+i(sqrt(5))/3